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Finding the Fourth Proportional to 509,654.78, 765,072.73 and 273,458.78

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Solution

The fourth proportional to 509,654.78, 765,072.73 and 273,458.78 is: 410,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,654.78 : 765,072.73 = 273,458.78 : x
  2. Step 2: Convert to fraction form
    509,654.78/765,072.73 = 273,458.78/x
  3. Step 3: Cross multiply
    509,654.78x = 765,072.73 × 273,458.78
  4. Step 4: Simplify right side
    509,654.78x = 209,215,855,357.07
  5. Step 5: Solve for x
    x = 209,215,855,357.07/509,654.78
  6. Step 6: Final answer
    x = 410,505.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.